427616 has 48 divisors (see below), whose sum is σ = 1016064. Its totient is φ = 173184.

The previous prime is 427597. The next prime is 427619. The reversal of 427616 is 616724.

It is a d-powerful number, because it can be written as 4⁷ + 2¹⁷ + 6³ + 7 + 1 + 6⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5111 + ... + 5193.

It is an arithmetic number, because the mean of its divisors is an integer number (21168).

2⁴²⁷⁶¹⁶ is an apocalyptic number.

427616 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508032).

427616 is an abundant number, since it is smaller than the sum of its proper divisors (588448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

427616 is a wasteful number, since it uses less digits than its factorization.

427616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 115 counting only the distinct ones).

The product of its digits is 2016, while the sum is 26.

The square root of 427616 is about 653.9235429314. The cubic root of 427616 is about 75.3386757552.

The spelling of 427616 in words is "four hundred twenty-seven thousand, six hundred sixteen".